Manis Valuations And Prüfer Extensions I: A New Chapter In Commutative Algebra

E-Book Overview

The present book is devoted to a study of relative Prüfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter.


E-Book Content

Lecture Notes in Mathematics Editors: J.–M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris 1791 3 Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Tokyo Manfred Knebusch Digen Zhang Manis Valuations and Pru¨ fer Extensions I A New Chapter in Commutative Algebra 13 Authors Manfred Knebusch Digen ZHANG Department of Mathematics University of Regensburg Universit¨atstr. 31 93040 Regensburg Germany e-mail: [email protected] [email protected] Cover: "A good mathematician needs no counting rod", Lao Tse in Dao De Jing, chapter 27 Cataloging-in-Publication Data applied for. Die Deutsche Bibliothek - CIP-Einheitsaufnahme Knebusch, Manfred: Manis valuations and Prüfer extensions / Manfred Knebusch ; Digen Zhang. Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; Londo
You might also like

Mathematical Models For Speech Technology
Authors: Stephen Levinson    236    0


Mathematical Writing
Authors: Donald E. Knuth    233    0



Galois Theory, U Glasgow Course
Authors: John B. Fraleigh    259    0


Introduction To Galois Theory
Authors: Wilkins D.R.    173    0


Recent Advances In Algorithms And Combinatorics
Authors: Bruce A. Reed , Claudia L. Linhares-Sales    172    0


A=b (symbolic Summation Algorithms)
Authors: Wilf , Zeilberger.    220    0


Handbook Of Computational Group Theory
Authors: Derek F. Holt , Bettina Eick , Eamonn A. O'Brien    434    0